Question

Which function has the greatest maximum y-value?

(image of functions added below)

Answer Choices:
a. f(x)
b. g(x)
c. g(x) and h(x)
d. f(x) and h(x)

Answer 1

Functions:

Answer 2

did you get anywhere with this?

Answer 3

@jim_thompson5910 unfortunately no, I just need help with solving! :-)

Answer 4

What do you notice about g(x)? Specifically the y values in column 2 of the table

Answer 5

@jim_thompson5910 it decreases by -5 and then goes back up by -5, is that what you are asking?

Answer 6

all of the y values are positive? or all negative?

Answer 7

@jim_thompson5910 all negative.

Answer 8

but if you look at f(x), you'll see that f(x) has positive y values on it

so clearly f(x) is larger

Answer 9

@jim_thompson5910 and what about h(x)?

Answer 10

it turns out h(x) is very similar to f(x) in that it has positive y values on it at as well. I recommend you graphing it to check it out

Answer 11

@jim_thompson5910 thank you! :-)

Answer 12

use something like desmos

https://www.desmos.com/calculator

if you don't have a graphing calculator